2872617882624 has 1584 divisors, whose sum is σ = 10653804540288. Its totient is φ = 756481130496.

The previous prime is 2872617882613. The next prime is 2872617882637. The reversal of 2872617882624 is 4262887162782.

2872617882624 is a `hidden beast` number, since 2 + 8 + 7 + 2 + 617 + 8 + 8 + 2 + 6 + 2 + 4 = 666.

It is a super-2 number, since 2×2872617882624² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54200337382 + ... + 54200337434.

Almost surely, 2^{2872617882624} is an apocalyptic number.

2872617882624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2872617882624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326902270144).

2872617882624 is an abundant number, since it is smaller than the sum of its proper divisors (7781186657664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2872617882624 is an equidigital number, since it uses as much as digits as its factorization.

2872617882624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 131 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The spelling of 2872617882624 in words is "two trillion, eight hundred seventy-two billion, six hundred seventeen million, eight hundred eighty-two thousand, six hundred twenty-four".